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Finding the Third Proportional to 205,536 and 448,421

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Solution

The third proportional to 205,536 and 448,421 is: 978,326.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,536 : 448,421 = 448,421 : x
  2. Step 2: Convert to fraction form
    205,536/448,421 = 448,421/x
  3. Step 3: Cross multiply
    205,536x = 448,421 × 448,421
  4. Step 4: Simplify right side
    205,536x = 201,081,393,241
  5. Step 5: Solve for x
    x = 201,081,393,241/205,536
  6. Step 6: Final answer
    x = 978,326.88

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.